Add 40/70 and 45/64
40/70 + 45/64 is 571/448.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 64 is 2240
Next, find the equivalent fraction of both fractional numbers with denominator 2240 - For the 1st fraction, since 70 × 32 = 2240,
40/70 = 40 × 32/70 × 32 = 1280/2240 - Likewise, for the 2nd fraction, since 64 × 35 = 2240,
45/64 = 45 × 35/64 × 35 = 1575/2240 - Add the two like fractions:
1280/2240 + 1575/2240 = 1280 + 1575/2240 = 2855/2240 - 2855/2240 simplified gives 571/448
- So, 40/70 + 45/64 = 571/448
In mixed form: 1123/448
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